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1. Twenty-five engine mounts are sampled each day and found to have an average width of 2 inches, with a standard deviation of 0.1 inches. What are the control limits that include 90% of the sample means? (2pts) 2. Cans of Soda are sampled to ensure proper weight. The overall average for the sample is 10 ounces. Each sample contains 25 cans. The standard deviation is estimated to be 3 ounces. What is the 98% control limit? 3. LEE's Distributors, Inc. at Glassboro fills catalog orders. Samples of size n=100 orders have been taken each day over the past 6 weeks. The average defect rate was 0.05. What are the upper and lower limits for the process for 99.73% confidence? * (4-5) A Glassboro township is concerned about adverse public reaction to a trash recycling project that is currently in progress. Because of this, the commissioner of public works has authorized a weekly survey to be constructed of township residents. Each week, a sample of 100 residents are questioned on their feeling toward the project. The results to date are shown below. Give the answer using an appropriate control chart. 4. What is the weekly average proportion of opposed feelings? 5. What are the 95% control limits? * (6-7) A construction foreman has three earth-moving machines that Machine can be operated by workers A,B,C, and D at costs/hours. (in $ ) as designed in the matrix shown. Find the least cost allocation of workers to machines 1, 2, 3, and 4 . 6. To which machine would you like to assign Job C? 7. Theminimum total cost after assigning jobs to machines is ( 4 pts)